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Finding the Fourth Proportional to 3,146.21, 4,719.38 and 954.93

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Solution

The fourth proportional to 3,146.21, 4,719.38 and 954.93 is: 1,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.21 : 4,719.38 = 954.93 : x
  2. Step 2: Convert to fraction form
    3,146.21/4,719.38 = 954.93/x
  3. Step 3: Cross multiply
    3,146.21x = 4,719.38 × 954.93
  4. Step 4: Simplify right side
    3,146.21x = 4,506,672.77
  5. Step 5: Solve for x
    x = 4,506,672.77/3,146.21
  6. Step 6: Final answer
    x = 1,432.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.